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Q.

A cube is floating in a liquid as shown in figure. Match the following

Question Image
List IList II
A) If density of liquid decreases, x will P) increase
B) If size of cube is increased, keeping density same, x will Q) decrease
C) If the whole system is accelerated upward, x willR) remain same 
D) If the whole system is accelerated downward, x willS) first increase then decrease
 T) first decrease then increase

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a

AP;BQ;CR;DS

b

AP;BS;CR;DS

c

AP;BP;CR;DR

d

AQ;BP;CS;DR

answer is A.

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Detailed Solution

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In equilibrium 
Up trust = weight

x=ρbρlh

If density of liquid decreases, x will increase.

If size of cube is increased, h will also increase. Thus, x will increase.

The expression of x is independent of effective acceleration due to gravity. Thus, if the whole system is accelerated upward or downward, x will remain same.

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